16=(4x-1)-(x-5)

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Solution for 16=(4x-1)-(x-5) equation:


Simplifying
16 = (4x + -1) + -1(x + -5)

Reorder the terms:
16 = (-1 + 4x) + -1(x + -5)

Remove parenthesis around (-1 + 4x)
16 = -1 + 4x + -1(x + -5)

Reorder the terms:
16 = -1 + 4x + -1(-5 + x)
16 = -1 + 4x + (-5 * -1 + x * -1)
16 = -1 + 4x + (5 + -1x)

Reorder the terms:
16 = -1 + 5 + 4x + -1x

Combine like terms: -1 + 5 = 4
16 = 4 + 4x + -1x

Combine like terms: 4x + -1x = 3x
16 = 4 + 3x

Solving
16 = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
16 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -3x = 4 + 0
16 + -3x = 4

Add '-16' to each side of the equation.
16 + -16 + -3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 4 + -16
-3x = 4 + -16

Combine like terms: 4 + -16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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